Linear stability analysis of compressible vortex flows considering viscous effects
This study investigates the stability of compressible swirling wake flows including the viscous effects using linear stability theory. A spatial stability analysis is performed to evaluate the influence of the axial velocity deficit and circulation as well as the Reynolds number and Mach number as t...
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| Veröffentlicht in: | Theoretical and computational fluid dynamics 2022-10, Vol.36 (5), p.799-820 |
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| creator | Lee, Hyeonjin Park, Donghun |
| description | This study investigates the stability of compressible swirling wake flows including the viscous effects using linear stability theory. A spatial stability analysis is performed to evaluate the influence of the axial velocity deficit and circulation as well as the Reynolds number and Mach number as the main parameters that affect the instability. The growth rates of the unstable modes at several azimuthal wavenumbers are compared. The maximum growth rates and their dependency with respect to each parameter are analyzed. It is confirmed that the instability monotonically increases as the axial velocity deficit increases. For small axial velocity deficit, characteristics that are different from the results reported using inviscid analysis are identified and analyzed. Additionally, a decrease in instability is observed as the viscous and compressibility effects become stronger. In terms of circulation, it is confirmed that there is a certain region of circulation that exhibits maximum instability. The stability analysis is expected to serve as a part of a useful methodology for preliminary design and parametric study for engineering problems such as vortex generators in high-speed flows, owing to both efficiency and accuracy.
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| doi_str_mv | 10.1007/s00162-022-00610-5 |
| format | Article |
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Graphical abstract</description><subject>Analysis</subject><subject>Classical and Continuum Physics</subject><subject>Compressibility</subject><subject>Compressibility effects</subject><subject>Computational Science and Engineering</subject><subject>Engineering</subject><subject>Engineering Fluid Dynamics</subject><subject>Fluid flow</subject><subject>Growth rate</subject><subject>Instability</subject><subject>Mach number</subject><subject>Original Article</subject><subject>Parameters</subject><subject>Preliminary designs</subject><subject>Reynolds number</subject><subject>Spatial analysis</subject><subject>Stability</subject><subject>Stability analysis</subject><subject>Swirling</subject><subject>Velocity</subject><subject>Viscous flow</subject><subject>Vortex generators</subject><subject>Vortex-motion</subject><issn>0935-4964</issn><issn>1432-2250</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><sourceid>8G5</sourceid><sourceid>BENPR</sourceid><sourceid>GUQSH</sourceid><sourceid>M2O</sourceid><recordid>eNp9kFFr2zAQx8VoYWm6L7AnQ5-dnWTJsh9LWdtBYDC2ZyFLp6DgWKnOyZZvX3Uu7G0IIbi73_HXj7HPHDYcQH8hAN6KGkS50HKo1Qe24rIRtRAKrtgK-kbVsm_lR3ZDtAeARrXdiv3Yxgltrmi2QxzjfKnsZMcLRapSqFw6HDMSxWHE6pzyjH-qMKbfVDoTRY85TrvqHMmlE1UYArqZbtl1sCPhp_d3zX49fv358Fxvvz99e7jf1k503Vwrr3jf9hYRh0Y73Q1D67SynRKt1T54G_rSBatRcR-kFl5J2QN6b-0QXLNmd8veY04vJ6TZ7NMpl_RkhOYdgGpBlqnNMrWzI5o4hTRn68rxeIjlFxhiqd9r3neik5IXQCyAy4koYzDHHA82XwwH8ybbLLJNkW3-yjaqQM0C0fFNCeZ_Wf5DvQLCaIP9</recordid><startdate>20221001</startdate><enddate>20221001</enddate><creator>Lee, Hyeonjin</creator><creator>Park, Donghun</creator><general>Springer Berlin Heidelberg</general><general>Springer</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope><scope>3V.</scope><scope>7RQ</scope><scope>7SC</scope><scope>7TB</scope><scope>7XB</scope><scope>88I</scope><scope>8FD</scope><scope>8FE</scope><scope>8FG</scope><scope>8FK</scope><scope>8G5</scope><scope>ABJCF</scope><scope>ABUWG</scope><scope>AEUYN</scope><scope>AFKRA</scope><scope>ARAPS</scope><scope>AZQEC</scope><scope>BENPR</scope><scope>BGLVJ</scope><scope>BHPHI</scope><scope>BKSAR</scope><scope>CCPQU</scope><scope>DWQXO</scope><scope>F1W</scope><scope>FR3</scope><scope>GNUQQ</scope><scope>GUQSH</scope><scope>H8D</scope><scope>H96</scope><scope>HCIFZ</scope><scope>JQ2</scope><scope>K7-</scope><scope>KR7</scope><scope>L.G</scope><scope>L6V</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><scope>M2O</scope><scope>M2P</scope><scope>M7S</scope><scope>MBDVC</scope><scope>P5Z</scope><scope>P62</scope><scope>PADUT</scope><scope>PCBAR</scope><scope>PQEST</scope><scope>PQQKQ</scope><scope>PQUKI</scope><scope>PTHSS</scope><scope>Q9U</scope><scope>S0W</scope><scope>U9A</scope></search><sort><creationdate>20221001</creationdate><title>Linear stability analysis of compressible vortex flows considering viscous effects</title><author>Lee, Hyeonjin ; Park, Donghun</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c288t-5d51969aeeeb37c78bb6c75a8526a7dfdaf99ae0a7e51df472d54490eddaabfc3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Analysis</topic><topic>Classical and Continuum Physics</topic><topic>Compressibility</topic><topic>Compressibility effects</topic><topic>Computational Science and Engineering</topic><topic>Engineering</topic><topic>Engineering Fluid Dynamics</topic><topic>Fluid flow</topic><topic>Growth rate</topic><topic>Instability</topic><topic>Mach number</topic><topic>Original Article</topic><topic>Parameters</topic><topic>Preliminary designs</topic><topic>Reynolds number</topic><topic>Spatial analysis</topic><topic>Stability</topic><topic>Stability analysis</topic><topic>Swirling</topic><topic>Velocity</topic><topic>Viscous flow</topic><topic>Vortex generators</topic><topic>Vortex-motion</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Lee, Hyeonjin</creatorcontrib><creatorcontrib>Park, Donghun</creatorcontrib><collection>CrossRef</collection><collection>ProQuest Central (Corporate)</collection><collection>Career & Technical Education Database</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>ProQuest Central (purchase pre-March 2016)</collection><collection>Science Database (Alumni Edition)</collection><collection>Technology Research Database</collection><collection>ProQuest SciTech Collection</collection><collection>ProQuest Technology Collection</collection><collection>ProQuest Central (Alumni) (purchase pre-March 2016)</collection><collection>Research Library (Alumni Edition)</collection><collection>Materials Science & Engineering Collection</collection><collection>ProQuest Central (Alumni Edition)</collection><collection>ProQuest One Sustainability</collection><collection>ProQuest Central UK/Ireland</collection><collection>Advanced Technologies & Aerospace Collection</collection><collection>ProQuest Central Essentials</collection><collection>ProQuest Central</collection><collection>Technology Collection</collection><collection>Natural Science Collection</collection><collection>Earth, Atmospheric & Aquatic Science Collection</collection><collection>ProQuest One Community College</collection><collection>ProQuest Central Korea</collection><collection>ASFA: Aquatic Sciences and Fisheries Abstracts</collection><collection>Engineering Research Database</collection><collection>ProQuest Central Student</collection><collection>Research Library Prep</collection><collection>Aerospace Database</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) 2: Ocean Technology, Policy & Non-Living Resources</collection><collection>SciTech Premium Collection</collection><collection>ProQuest Computer Science Collection</collection><collection>Computer Science Database</collection><collection>Civil Engineering Abstracts</collection><collection>Aquatic Science & Fisheries Abstracts (ASFA) Professional</collection><collection>ProQuest Engineering Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><collection>Research Library</collection><collection>Science Database</collection><collection>Engineering Database</collection><collection>Research Library (Corporate)</collection><collection>Advanced Technologies & Aerospace Database</collection><collection>ProQuest Advanced Technologies & Aerospace Collection</collection><collection>Research Library China</collection><collection>Earth, Atmospheric & Aquatic Science Database</collection><collection>ProQuest One Academic Eastern Edition (DO NOT USE)</collection><collection>ProQuest One Academic</collection><collection>ProQuest One Academic UKI Edition</collection><collection>Engineering Collection</collection><collection>ProQuest Central Basic</collection><collection>DELNET Engineering & Technology Collection</collection><jtitle>Theoretical and computational fluid dynamics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Lee, Hyeonjin</au><au>Park, Donghun</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Linear stability analysis of compressible vortex flows considering viscous effects</atitle><jtitle>Theoretical and computational fluid dynamics</jtitle><stitle>Theor. Comput. Fluid Dyn</stitle><date>2022-10-01</date><risdate>2022</risdate><volume>36</volume><issue>5</issue><spage>799</spage><epage>820</epage><pages>799-820</pages><issn>0935-4964</issn><eissn>1432-2250</eissn><abstract>This study investigates the stability of compressible swirling wake flows including the viscous effects using linear stability theory. A spatial stability analysis is performed to evaluate the influence of the axial velocity deficit and circulation as well as the Reynolds number and Mach number as the main parameters that affect the instability. The growth rates of the unstable modes at several azimuthal wavenumbers are compared. The maximum growth rates and their dependency with respect to each parameter are analyzed. It is confirmed that the instability monotonically increases as the axial velocity deficit increases. For small axial velocity deficit, characteristics that are different from the results reported using inviscid analysis are identified and analyzed. Additionally, a decrease in instability is observed as the viscous and compressibility effects become stronger. In terms of circulation, it is confirmed that there is a certain region of circulation that exhibits maximum instability. The stability analysis is expected to serve as a part of a useful methodology for preliminary design and parametric study for engineering problems such as vortex generators in high-speed flows, owing to both efficiency and accuracy.
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| subjects | Analysis Classical and Continuum Physics Compressibility Compressibility effects Computational Science and Engineering Engineering Engineering Fluid Dynamics Fluid flow Growth rate Instability Mach number Original Article Parameters Preliminary designs Reynolds number Spatial analysis Stability Stability analysis Swirling Velocity Viscous flow Vortex generators Vortex-motion |
| title | Linear stability analysis of compressible vortex flows considering viscous effects |
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